Categories for Types PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Categories for Types PDF full book. Access full book title Categories for Types by Roy L. Crole. Download full books in PDF and EPUB format.
Author: Roy L. Crole
Publisher: Cambridge University Press
ISBN: 9780521457019
Category : Computers
Languages : en
Pages : 362
Get Book Here
Book Description
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.
Author: Roy L. Crole
Publisher: Cambridge University Press
ISBN: 9780521457019
Category : Computers
Languages : en
Pages : 362
Get Book Here
Book Description
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.
Author: Shane Parrish
Publisher: Penguin
ISBN: 0593719972
Category : Business & Economics
Languages : en
Pages : 209
Get Book Here
Book Description
Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
Author: John C. Maxwell
Publisher: Center Street
ISBN: 1455507512
Category : Religion
Languages : en
Pages : 187
Get Book Here
Book Description
Use this helpful book to learn about the leadership tools to fuel success, grow your team, and become the visionary you were meant to be. True leadership isn't a matter of having a certain job or title. In fact, being chosen for a position is only the first of the five levels every effective leader achieves. To become more than "the boss" people follow only because they are required to, you have to master the ability to invest in people and inspire them. To grow further in your role, you must achieve results and build a team that produces. You need to help people to develop their skills to become leaders in their own right. And if you have the skill and dedication, you can reach the pinnacle of leadership—where experience will allow you to extend your influence beyond your immediate reach and time for the benefit of others. The 5 Levels of Leadership are: 1. Position—People follow because they have to. 2. Permission—People follow because they want to. 3. Production—People follow because of what you have done for the organization. 4. People Development—People follow because of what you have done for them personally. 5. Pinnacle—People follow because of who you are and what you represent. Through humor, in-depth insight, and examples, internationally recognized leadership expert John C. Maxwell describes each of these stages of leadership. He shows you how to master each level and rise up to the next to become a more influential, respected, and successful leader.
Author: Jan Heering
Publisher: World Scientific
ISBN: 9814498734
Category : Computers
Languages : en
Pages : 375
Get Book Here
Book Description
Language prototyping provides a means to generate language implementations automatically from high-level language definitions. This volume presents an algebraic specification approach to language prototyping, and is centered around the ASF+SDF formalism and Meta-Environment. The volume is an integrated collection of articles covering a number of case studies, and includes several chapters proposing new techniques for deriving advanced language implementations. The accompanying software is freely available.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 770
Get Book Here
Book Description
Vol. 49, no. 4, pt. 2 (July 1952) is the association's Publication manual.
Author: Elizabeth de Freitas
Publisher: Cambridge University Press
ISBN: 1108210783
Category : Psychology
Languages : en
Pages : 301
Get Book Here
Book Description
Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically.
Author: Erich Neuhold
Publisher: Springer Science & Business Media
ISBN: 9783540539612
Category : Computers
Languages : en
Pages : 532
Get Book Here
Book Description
In software engineering there is a growing need for formalization as a basis for developing powerful computer assisted methods. This volume contains seven extensive lectures prepared for a series of IFIP seminars on the Formal Description of Programming Concepts. The authors are experts in their fields and have contributed substantially to the state of the art in numerous publications. The lectures cover a wide range in the theoretical foundations of programming and give an up-to-date account of the semantic models and the related tools which have been developed in order to allow a rigorous discussion of the problems met in the construction of correct programs. In particular, methods for the specification and transformation of programs are considered in detail. One lecture is devoted to the formalization of concurrency and distributed systems and reflects their great importance in programming. Further topics are the verification of programs and the use of sophisticated type systems in programming. This compendium on the theoretical foundations of programming is also suitable as a textbook for special seminars on different aspects of this broad subject.
Author: Roland C. Backhouse
Publisher: Springer Science & Business Media
ISBN: 3540201947
Category : Computers
Languages : en
Pages : 232
Get Book Here
Book Description
Generic programming attempts to make programming more efficient by making it more general. This book is devoted to a novel form of genericity in programs, based on parameterizing programs by the structure of the data they manipulate. The book presents the following four revised and extended chapters first given as lectures at the Generic Programming Summer School held at the University of Oxford, UK in August 2002: - Generic Haskell: Practice and Theory - Generic Haskell: Applications - Generic Properties of Datatypes - Basic Category Theory for Models of Syntax
Author: Xavier Leroy
Publisher: Springer Science & Business Media
ISBN: 9783540649250
Category : Computers
Languages : en
Pages : 316
Get Book Here
Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the Second International Workshop on Types in Compilation, TIC '98, held in Kyoto, Japan in March 1998. The book presents 13 revised full papers carefully selected during an iterated reviewing process together with three invited papers. The papers are organized in topical sections on typed intermediate languages, program analyses, program transformations and code generation, memory management, partial evaluation and run-time code generation, and distributed computing.
Author: Benjamin C. Pierce
Publisher: MIT Press
ISBN: 0262303825
Category : Computers
Languages : en
Pages : 646
Get Book Here
Book Description
A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.
